Periodic solutions for $p$-Laplacian systems ofLiénard-type

Wenbin Liu; Zhaosheng Feng

doi:10.3934/cpaa.2011.10.1393

Article Contents

2011, Volume 10, Issue 5: 1393-1400. Doi: 10.3934/cpaa.2011.10.1393

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Periodic solutions for $p$-Laplacian systems of Liénard-type

Wenbin Liu^1, and
Zhaosheng Feng^2,

1.
Department of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221008
2.
Department of Mathematics, University of Texas-Pan American, Edinburg, TX 78539

Received: January 31, 2009

Revised: June 30, 2010

Published: August 2011

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Abstract

In this paper, we study the existence of periodic solutions for $n-$dimensional $p$-Laplacian systems by means of the topological degree theory. Sufficient conditions of the existence of periodic solutions for $n-$dimensional $p$-Laplacian systems of Liénard-type are presented.

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Mathematics Subject Classification: Primary: 34A12; Secondary: 34C25.

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